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There is some change in length when 33000 N tensile force is applied on a steel rod of area of cross section 10^–3m². The change in temperature required to produce the same elongation if the steel rod is heated is
(The modulus of elasticity is 3 × 10¹¹N/m² and the coefficient of linear expansion of steel is 1.1 × 10^–5/⁰C)

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$10^{0} C$

$20^{0} C$

$0^{0} C$

$15^{0} C$

answer is C.

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Detailed Solution

We have $F = YA α Δt$
$\begin{array}{l} 33000 = 3 \times 10^{11} \times 10^{- 3} \times 1.1 \times 10^{- 5} Δt \\ Δt = 10^{\circ} C \end{array}$

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